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Simplifying 3k + 18 = 6 + 7(k + 4) Reorder the terms: 18 + 3k = 6 + 7(k + 4) Reorder the terms: 18 + 3k = 6 + 7(4 + k) 18 + 3k = 6 + (4 * 7 + k * 7) 18 + 3k = 6 + (28 + 7k) Combine like terms: 6 + 28 = 34 18 + 3k = 34 + 7k Solving 18 + 3k = 34 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. 18 + 3k + -7k = 34 + 7k + -7k Combine like terms: 3k + -7k = -4k 18 + -4k = 34 + 7k + -7k Combine like terms: 7k + -7k = 0 18 + -4k = 34 + 0 18 + -4k = 34 Add '-18' to each side of the equation. 18 + -18 + -4k = 34 + -18 Combine like terms: 18 + -18 = 0 0 + -4k = 34 + -18 -4k = 34 + -18 Combine like terms: 34 + -18 = 16 -4k = 16 Divide each side by '-4'. k = -4 Simplifying k = -4
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